An introduction to probability - Revision history

Grigorio003 at 03:25, 16 December 2025

2025-12-16T03:25:46Z

Admin at 22:23, 28 April 2022

2022-04-28T22:23:17Z

TaniaNicole: /* Introduction to Probability */

2022-04-25T23:01:00Z

‎Introduction to Probability

Admin: /* Introduction to Probability */

2022-04-20T14:25:57Z

‎Introduction to Probability

Admin at 14:24, 20 April 2022

2022-04-20T14:24:42Z

Ciskowskid: /* Introduction to Probability */

2022-02-11T17:44:14Z

‎Introduction to Probability

Ciskowskid: /* Introduction to Probability */

2022-02-11T17:35:42Z

‎Introduction to Probability

Ciskowskid: /* Introduction to Probability */

2022-02-11T17:24:01Z

‎Introduction to Probability

Ciskowskid: Created page with "== Introduction to Probability == '''Probability of an Event''' If all of the outcomes in an experiment are equally likely, then the probability of an event, ''E'', occurrin..."

2022-02-11T17:14:42Z

Created page with "== Introduction to Probability == '''Probability of an Event''' If all of the outcomes in an experiment are equally likely, then the probability of an event, ''E'', occurrin..."

New page

== Introduction to Probability ==

'''Probability of an Event'''

If all of the outcomes in an experiment are equally likely, then the probability of an event, ''E'', occurring is given by:

[[File:P(E)_definition.JPG]]

Note: the number of outcomes that result in event ''E'' occurring can never be negative and can never be greater than the total number of outcomes, so we know:

[[File:Range_of_P(E).JPG]]

'''Theoretical Probability'''

A probability computed by using a probability formula is called a '''''theoretical probability'''''.

'''Empirical Probability'''

A probability found by observing the actual outcomes of an experiment that is repeated many times is called '''''empirical probability'''''.

← Older revision		Revision as of 03:25, 16 December 2025
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	''contribution by Tania Nicole Sutherland''		''contribution by Tania Nicole Sutherland''
		+
		+	<big>'''Probability in Everyday Situations'''</big>
		+
		+	Probability helps us describe how likely an event is to happen. We use it often in daily life, such as predicting the weather, flipping a coin, or drawing a card from a deck.
		+
		+	All probabilities fall between 0 and 1, where 0 means an event is impossible and 1 means it is certain. Values in between show different levels of likelihood.
		+
		+	Thinking about probability allows us to better understand and measure uncertainty in real-world situations.
		+
		+	''contribution by Celino Grigorio''

@@ Line 36: / Line 36: @@
 ''contributed by David Ciskowski''
-What is probability?
+<big>'''What is probability?'''</big>
-Probability is the likelihood that an event will occur and is calculated by dividing the number of favorable outcomes by the total number of possible outcomes.
+Probability is the likelihood that an event will occur and is calculated by dividing the number of favorable outcomes by the total number of possible outcomes.  In Statistics, the probability distribution gives the possibility of each outcome of a random experiment or event. It provides the probabilities of different possible occurrences.
-In Statistics, the probability distribution gives the possibility of each outcome of a random experiment or event. It provides the probabilities of different possible occurrences.
+Consider this example:
 When you flip a coin, there are only two possible outcomes.  Heads or Tails.  So the probability of getting heads is 1 out of 2 or 1/2 or 50%.
 There is a 50% chance of getting heads and a 50% chance of getting tails.
@@ Line 56: / Line 52: @@
 % tails/heads
-contribution by ''Tania Nicole Sutherland''
+''contribution by Tania Nicole Sutherland''

← Older revision		Revision as of 23:01, 25 April 2022
Line 35:		Line 35:

	''contributed by David Ciskowski''		''contributed by David Ciskowski''
		+
		+	_____________________________________________________________________________________________________________________________________________________________________________________
		+
		+	What is probability?
		+
		+	Probability is the likelihood that an event will occur and is calculated by dividing the number of favorable outcomes by the total number of possible outcomes.
		+
		+	In Statistics, the probability distribution gives the possibility of each outcome of a random experiment or event. It provides the probabilities of different possible occurrences.
		+
		+
		+	Consider this example.
		+	When you flip a coin, there are only two possible outcomes. Heads or Tails. So the probability of getting heads is 1 out of 2 or 1/2 or 50%.
		+	There is a 50% chance of getting heads and a 50% chance of getting tails.
		+	Probability distribution maps out the likelihood of multiple outcomes in an equation or table,
		+	If we flip the two coins twice in a row, there are four possible outcomes.
		+	The is a distribution of
		+	25% heads/heads
		+	25% heads/tails
		+	25% tails/tails
		+	25% tails/heads
		+
		+	contribution by ''Tania Nicole Sutherland''

@@ Line 1: / Line 1: @@
 == Introduction to Probability ==
-'''Probability of an Event'''
+<big>'''Probability of an Event'''</big>
 If all of the outcomes in an experiment are equally likely, then the probability of an event, ''E'', occurring is given by:
@@ Line 12: / Line 12: @@
-'''Theoretical Probability vs. Empirical Probability'''
+<big>'''Theoretical Probability vs. Empirical Probability'''</big>
 A probability computed by using a probability formula is called a '''''theoretical probability'''''.

← Older revision		Revision as of 14:24, 20 April 2022
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−	''~~Contributed~~ by David Ciskowski''	+	''contributed by David Ciskowski''

← Older revision		Revision as of 17:44, 11 February 2022
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	Notice only one outcome (rolling a 5) matched the theoretical probability.		Notice only one outcome (rolling a 5) matched the theoretical probability.
		+
		+
		+	''Contributed by David Ciskowski''

← Older revision		Revision as of 17:35, 11 February 2022
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	However, if we actually rolled a 6-sided die 600 times and recorded the outcomes, we may find that the empirical probabilities differ:		However, if we actually rolled a 6-sided die 600 times and recorded the outcomes, we may find that the empirical probabilities differ:
		+
		+	(Geogebra [https://www.geogebra.org/m/UsoH4eNl] is a great tool for simulating this experiment)
		+
		+	[[File:Empirical_Probability_of_Dice.JPG]]
		+
		+	Notice only one outcome (rolling a 5) matched the theoretical probability.

@@ Line 12: / Line 12: @@
-'''Theoretical Probability'''
+'''Theoretical Probability vs. Empirical Probability'''
 A probability computed by using a probability formula is called a '''''theoretical probability'''''.
-'''Empirical Probability'''
+A probability found by observing the actual outcomes of an experiment that is repeated many times is called '''''empirical probability'''''.
-A probability found by observing the actual outcomes of an experiment that is repeated many times is called '''''empirical probability'''''.
+[[File:Theoretical_Probability_of_Dice.JPG]]